Question
The equation y = 6x + 6 describing relationship between q u a n t i t i e s it's and why are the q u a n t i t i e s n a proportional relationship
Answers
GPT 3.5
The equation y = 6x + 6 represents a linear equation in slope-intercept form, where y is the dependent variable and x is the independent variable. In this equation, the coefficient of x (which is 6) represents the slope of the line.
If two quantities have a proportional relationship, it means that the ratio between the two quantities remains constant. In this case, the ratio between the quantity y and the quantity x is always 6. This implies that for every increase in x by a certain amount, such as 1 unit, there will be a corresponding increase in y by 6 units.
Therefore, the quantities y and x have a proportional relationship because the coefficient of x provides a constant ratio of 6.
If two quantities have a proportional relationship, it means that the ratio between the two quantities remains constant. In this case, the ratio between the quantity y and the quantity x is always 6. This implies that for every increase in x by a certain amount, such as 1 unit, there will be a corresponding increase in y by 6 units.
Therefore, the quantities y and x have a proportional relationship because the coefficient of x provides a constant ratio of 6.